# Questions tagged [linear-systems]

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### Find the series {$a_i$}$_{i=-\infty}^{+\infty}$ - Linear system course

I have a question. this is sub-question D: Let $T${$x(t)$}$= \int_{-\infty}^{t} [x(\tau) - x(\tau - 1)]d\tau$. Consider the signal $x_3(t) = a_i, \forall t \in (i,i+1]$ and $\forall i \in \mathbb{Z}$....
1 vote
56 views

### why Type III systems has at least two gain margins?

I heard the following statement https://engineering.stackexchange.com/a/54322/40848 if we have a type III system, or one that has three or more low-frequency poles that we're closing around, then we ...
76 views

### Why are the phase indicators different between the open loop bode plot and the closed loop bode plot?

I have an open-loop transfer function G num=105*conv([1 1],[1 2 43.25]); den=conv([2 0 0],conv([1 2 82],[1 2 101])); G=tf(num,den); and a closed-loop function of G/(1+G). Here are the open-loop bode ...
57 views

### What is the effect of the resonant frequency of the system function Porter diagram on the stability of the system and how to analyze it?

I am a novice in automatic control, the theoretical basis is not very good. We have a large electric clamping jaw, single degree of freedom, the motor is controlled by the torque output, the motor has ...
74 views

### How to solve for discrete state space matrices given input and output

I have a set of time-series data that consists of inputs $u_k$ where $u \in R$ and $k = 1 ... T$, and outputs $y_k$ where $y \in R^2$ and also $k = 1 ... T$, from a given system. I believe this ...
16 views

### Estimating the effective area and temperature coeffecient of a solar panel

I have a bunch of solar panels, each one is connected to an inverter. For each solar panel I have two sensors, a wind and a west sensor. From every inverter, I collect the power output. The readings ...
64 views

### Looking for a linear actuator that can carry a transverse load? Does such a product exist?

I am looking for a product that works like a linear actuator where you can control how far it extends but it can also hold a transverse load at the furthest point of extension. What I am looking for ...
1 vote
### Controllability of $x' = Ax + Bu(t)$ implies controllability of $\left \{ \begin{matrix} x' = Ax + By \\ y'=u(t) \end{matrix} \right.$
Suppose that the system $$x'(t)=Ax(t)+Bu(t)$$ is controllable in $\mathbb{R}^n$, where $A$ is $n \times n$, $B$ is $n \times m$ and $u(t)$ is $m \times 1$ Show that the system \left \{ \begin{...